In this book, new concepts are defined and by using generalized contraction conditions (such as C-class functions), impose additional conditions on field spaces (such as equip the space withe a graph), by defining and using new spaces (such as C -algebra-valued modular metric space), using tools of the information and available potential, some new results in fixed point theory will be obtained. Some examples are also provided in each section. Furthermore, to confirm of the results, applications for integral equations, operator equations and dynamic programming are given.